57202000 has 80 divisors (see below), whose sum is σ = 142236432. Its totient is φ = 22233600.

The previous prime is 57201979. The next prime is 57202003. The reversal of 57202000 is 20275.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20575296 + 36626704 = 4536^2 + 6052^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73614 + ... + 74386.

Almost surely, 2^57202000 is an apocalyptic number.

57202000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71118216).

57202000 is an abundant number, since it is smaller than the sum of its proper divisors (85034432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57202000 is a wasteful number, since it uses less digits than its factorization.

57202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 57202000 is about 7563.2003807912. The cubic root of 57202000 is about 385.3041954104.

Adding to 57202000 its reverse (20275), we get a palindrome (57222275).

The spelling of 57202000 in words is "fifty-seven million, two hundred two thousand".